{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Orbit Plot\n",
    "*Note that OrbitPlot has changed from being a function to a class in REBOUND version 3.22.* \n",
    "\n",
    "REBOUND comes with a simple way to plot instantaneous orbits of planetary systems. To show how this works, let's setup a test simulation with 4 planets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import rebound\n",
    "sim = rebound.Simulation()\n",
    "sim.add(m=1)\n",
    "sim.add(m=0.1, e=0.041, a=0.4, inc=0.2, f=0.43, Omega=0.82, omega=2.98)\n",
    "sim.add(m=1e-3, e=0.24, a=1.0, pomega=2.14)\n",
    "sim.add(m=1e-3, e=0.24, a=1.5, omega=1.14, l=2.1)\n",
    "sim.add(a=-2.7, e=1.4, f=-1.5,omega=-0.7) # hyperbolic orbit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To plot these initial orbits in the $xy$-plane, we can simply create an `OrbitPlot` instance and give it the simulation as an argument during initialization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "op = rebound.OrbitPlot(sim)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can access the matplotlib figure and axes using attributes `ob.fig` and `ob.ax`. This allows you for example to save the figure to a file:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "op.fig.savefig(\"orbit.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "There are various ways to customize the plot. Have a look at the arguments used in the following examples, which are pretty much self-explanatory (if in doubt, check the documentation!). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "op = rebound.OrbitPlot(sim, unitlabel=\"[AU]\", color=True, periastron=True, xlim=[-2,2], ylim=[-2.5,1.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "op = rebound.OrbitPlot(sim, orbit_style=\"solid\", lw=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "op = rebound.OrbitPlot(sim, orbit_style=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you want to get a sense of the three dimensional architecture of a planetary system, you can use `OrbitPlotSet` which shows three different perspectives of the same system:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OA6QzLC5YTY0+UNZrw4YNePPNN9HQ0AAHBwesXr3aoNejGYbRha1arYZKpUJTUxNUKhUaGxvR1NSkC2DtMk1NTeDxeNBoNGAYRhfKPB4PfD4ftra2cHZ2Ru/evREWFkYTBBgIHQdIZ1CwdoA+UMTcaFu3WgIBDfltbHQcIJ1Bn0hCLIz2lDAhxDzRp5MQQggxIApWQgghxIAoWAkhhBADomAlhBBCDIiClRBCCDEgClZCCCHEgChYCSGEEAOiYCWEEEIMiIKVEEIIMSAKVkIIIcSAKFgJIYQQA6JgJYQQQgyIgpUQQggxIApWQgghxIAoWAkhhBADomAlhBBCDIiClRBCCDEgClZCCCHEgChYCSGEEAOiYCWEEEIMiIKVEEIIMSAKVkIIIcSAKFgJIYQQA6JgJYQQQgyIgpUQQggxIApWQgghxIAoWAkhhBADsphgra6uxpw5cyAWi+Hq6oqFCxdCoVC0u058fDx4PF6Lx3PPPWeiigkhhFgjAdcF6GvOnDm4efMmkpOT0dTUhKSkJDzzzDPYtWtXu+stWrQIb775pu7fjo6Oxi6VEEKIFbOIYM3JycHhw4dx/vx5DB06FACwadMmTJo0CRs3boSvr2+b6zo6OkIikZiqVEIIIVbOIk4Fp6amwtXVVReqAJCQkAA+n49z5861u+7OnTvh4eGBqKgorFq1Ckqlst3lGxsbIZfLWzwIIYQQfVlEi1UqlcLLy6vFcwKBAG5ubpBKpW2u9+STTyIwMBC+vr64dOkSVqxYgby8PPz0009trrN27Vq88cYbBqudEEKIdeE0WFeuXIl333233WVycnK6vP1nnnlG998DBgyAj48PHnzwQRQUFCAkJKTVdVatWoVly5bp/i2Xy+Hv79/lGgghhFgXToP15ZdfxoIFC9pdpk+fPpBIJKisrGzxvEajQXV1daeun44YMQIAcO3atTaD1d7eHvb29npvkxBCCLkbp8Hq6ekJT0/PDpeLjY1FbW0t0tPTERMTAwA4evQoGIbRhaU+MjMzAQA+Pj5dqpcQQgjpiEV0XoqIiMDEiROxaNEipKWl4fTp01iyZAmeeOIJXY/g8vJy9OvXD2lpaQCAgoIC/Pvf/0Z6ejqKiorw66+/Yt68eYiLi0N0dDSXL4cQQkgPZhHBCtzp3duvXz88+OCDmDRpEsaMGYPPP/9c9/umpibk5eXpev3a2dnh999/x4QJE9CvXz+8/PLLmDFjBvbt28fVSyCEEGIFeCzLslwXYc7kcjlcXFwgk8kgFou5LocQwgE6DpDOsJgWKyGEEGIJKFgJIYQQA6JgJYQQQgyIgpUQQggxIApWQgghxIAoWAkhhBADomAlhBBCDIiClRBCCDEgClZCCCHEgChYCSGEEAOiYCWEEEIMiIKVEEIIMSAKVkIIIcSAKFgJIYQQA6JgJYQQQgyIgpUQQggxIApWQgghxIAoWAkhhBADomAlhBBCDIiClRBCCDEgAdcFmLvm5mYAgFwu57gSQghXamtrAQDV1dXcFkI4w7Is6urq4OvrCz6//TYpBWsHrl27BgDw9/fnuBJCCNeCg4O5LoFwrLS0FH5+fu0uQ8Hagb59+wIAsrKyIBaLOa6GEMKF8vJyjBw5EqWlpVZ7HPj222/x0ksv4YMPPsDs2bO5Lsfk5HI5/P394ezs3OGyFKwdsLGxAQD4+flZ7QeKEHKHWCy22uOAg4MDWJaFg4OD1f4NAIDH43W4DHVeIoQQQgyIgpUQQggxIApWQgghxIAoWAkhhBADomAlhBBCDIiClRBCCDEgClZCCCHEgChYCSGEEAOiYCWEEEIMiEZeIgSASqVCbm4uysrKIJVKUV9fD5lMBo1Gg8bGRmg0GjQ1NbV4uLq6gs/nw8PDA97e3vDy8oKvry/8/Pzg5eXV4UDdhJCeiYKVWAWlUok//vgDFy5cQHZ2NsrLy1FRUYHa2lrU1dWhsbERHh4eqKqqAgC4u7vj9u3b922Hx+OBz+eDx+PBw8MDlZWVYFm21eVsbW0hFAohEokQGhqKXr16ITIyEsOHD0dsbCxcXV2N/bIJMZiLFy9CpVLh4sWLmDdvHtflmDUKVtLjXLlyBfv27cP58+eRlZWFiooKKBQK3e9tbGzg5OQEV1dX+Pn5oXfv3ggICEBISAgkEgl69+4NT09PODk5QSgUQigUws7ODnZ2dvftS6PRQCqVorS0FFKpFFKpFJWVlaiqqkJ1dTVqa2tRVVWF2tpapKWl4ddff9Wt6+TkBG9vbwQGBiImJgbjxo3D2LFjIRDQx5KYH+1MX9qfpG30CSYWTaPR4MCBA/jhhx9w/fp1ZGZmorGxEQBgZ2cHHx8fDBo0CBERERg6dCji4uIQGhpqsP0LBAL4+fl1OI2UVllZGU6fPo2MjAzk5uaisLAQGRkZOHbsGDZu3AiBQABfX18MHToU8fHxeOyxx+Dm5mawegnpKu2lDbrE0TEKVmJRGIZBSkoKvv32W5w+fRpFRUXQaDTg8XiIiIhAXFwcYmNj8fDDD2PIkCFmdxDw8/PDrFmzMGvWrBbPV1ZW4tChQzh+/DguX76MgwcP4ueff8bSpUvh4+ODIUOG4NFHH8XMmTOpRUuImaNPKDF71dXV2Lp1K/bs2YOqqiqUlpaCx+PB09MTCQkJeOSRRzB79myLnsrKy8sL8+fPx/z58wHc+QJx8uRJ/Pzzzzh9+jRSU1Nx4MABPP/884iOjsbUqVOxYMECas0Sk9H2JWitTwFpiYKVmCW1Wo2tW7fiP//5D3Jzc8EwDBwcHDBq1Ci89NJLmDNnDjw8PLgu02j4fD7i4+MRHx8P4M4p771792LXrl1ITU3Fa6+9htWrV6Nv37547LHH8Ne//hW+vr7cFk16NIZhWvwkbTOv82TEqjEMgz179mDs2LEQi8V48cUXUVBQgISEBOzfvx91dXU4cuQIXnzxxR4dqq0RCASYMWMG9uzZgxs3biAlJQVPPfUU6uvrsWHDBoSHhyMxMRGff/45NBoN1+WSHsjGxqbFT9I2iwrWkydPYsqUKfD19QWPx8Mvv/zS4TrHjx/HkCFDYG9vj759+2L79u1Gr5N0zrlz5zB9+nS4urpi5syZOHv2LAYPHoyvvvoKdXV1OHjwICZOnMh1mWYlNjYWW7ZsQX5+Ps6cOYOnnnoKFRUVeOmllxAQEIDnnnsOxcXFXJdJehBqserPooK1vr4eAwcOxObNm/Va/vr163j44Ycxbtw4ZGZmYunSpXj66adx5MgRI1dKOsIwDD766CPExMRgypQp2LdvH/z8/LBu3TrU1NQgNTUVTz31lNl1PjJHkZGR+Oyzz5CRkYGvvvoKffv2xc6dOzFgwACMHTsWe/bsoYMhIabEWigA7M8//9zuMq+88gobGRnZ4rlZs2axiYmJeu9HJpOxAFiZTNaVMsk9Ghoa2FdeeYV1dXVleTwe6+npyb7wwgvszZs3uS6tRyksLGQXLVrESiQS1tHRkQ0MDGSXL1/O1tTUcF2aRSotLbX648CUKVNYAOyUKVO4LoUTncmCHt0cSE1NRUJCQovnEhMTkZqa2uY6jY2NkMvlLR6k+2pra5GUlAQ3Nzds2LABQqEQGzduhFQqxSeffAKJRMJ1iT1KcHAwPv/8c5SWluKDDz6Au7s7vvzyS/Tr1w8vvvgiva9Jp9GpYP316GCVSqXw9vZu8Zy3tzfkcjkaGhpaXWft2rVwcXHRPfz9/U1Rao91/fp1TJ48GV5eXtixYwf8/Pzw7bff4ubNm1i2bBmd6jUygUCAZ555Bunp6Th8+DAGDx6MHTt2IDw8HMuXL28xIhUh7aEBIvRHf6F7rFq1CjKZTPcoLS3luiSLlJmZiYSEBPTt2xeHDh1CdHQ0jh8/jqtXr943OAIxjZiYGBw6dAi///47BgwYgP/85z8ICwvDqlWroFQquS6PkB6jRwerRCJBRUVFi+cqKiogFovh4ODQ6jr29vYQi8UtHkR/1dXVmDRpEkaOHIkrV67gwQcfRHZ2Ni5cuIC4uDiuyyMAhg4dit9++w2HDh1CeHg4Pv30U4SFhWH16tVQqVRcl0fMFI/Ha/GTtK1HB2tsbCxSUlJaPJecnIzY2FiOKuq5GIbBihUr4Ovri8OHD2PIkCFITU3Fb7/9hvDwcK7LI62IjY3FsWPHsG/fPvTp0wefffYZBg4ciC+++ILr0ogZYmnkJb1ZVLAqFApkZmYiMzMTAHSDrpeUlAC4cxr37umMnnvuORQWFuKVV15Bbm4uPv30U/zwww946aWXuCi/x/rxxx/h5eWF9evXw8PDA8nJyThz5gyCg4O5Lo3oIS4uDidPnsTOnTvh6OiIZcuWYeLEibhy5QrXpREzQsGqP4sK1gsXLmDw4MEYPHgwAGDZsmUYPHgwVq9eDQC4efOmLmSBOz0jDxw4gOTkZAwcOBDvvfce/vvf/yIxMZGT+nuanJwcREdHY+bMmWhoaMC7776LsrIyPPjgg1yXRrpgwoQJSE9Px9tvv42srCzEx8dj2bJlUKvVXJdGiEXhsfT1o11yuRwuLi6QyWR0vfX/KZVKLFiwAHv27AGPx8Pjjz+O//73v3B0dOS6NGIgVVVVeO6555CSkgKJRIKPP/4Y48eP57oszpSVlcHf39+qjwNTpkzB/v37MXnyZOzbt4/rckyuM1lgUS1Wwr1du3bBy8sLv//+OwYPHoy8vDzs2rWLQrWH8fDwwI8//oidO3eCYRg8/vjjePLJJ+n+VytGt9voj/5CRC8qlQoTJkzA008/DT6fjy1btuDChQsICQnhujRiRJMmTcKff/6JuXPnIjMzE0OGDKEhQQnpAAUr6dDJkyfh4+Oj61EtlUrx+OOPc10WMRGhUIiPP/4YX375Jezt7fHkk0/ihRdeoFl0rExzc3OLn6RtFKykTQzD4Pnnn0d8fDyUSiX+85//ICUlhU77WqkRI0YgPT0dU6ZMwbfffovhw4cjKyuL67KIidB9rPqjYCWtKi4uRkhICD777DOEhoaioKAATz/9NNdlEY4JhUJs374d//nPf8Dj8TB+/Hjs2LGD67KICdA1Vv3RX4jc56OPPkLfvn1RUlKCf/zjH8jLy4Ofnx/XZREzMmPGDN3AEsuWLcOiRYvo1HAPR4Pw60/AdQHEfGg0GkyePBmnTp2CWCzG4cOHMWzYMK7LImbK19cXJ0+exIsvvogffvgBpaWl+Oabb+Dh4cF1acQIqMWqP/oLEQB37tMLCgrCkSNHMGzYMJSXl1Ookg7x+Xxs2rQJ77//Pi5duoQHHniArrv2UDTykv4oWAlOnz6N0NBQKJVKrFmzBseOHYNQKOS6LGJB5syZgz179kCtVuOhhx7CwYMHuS6JGBh1XtIfBauV++qrrxAXF4fm5mZ88803eP3117kuiVgo7aD+Hh4eSEpKwqZNm7guiRgQXWPVHwWrFfvnP/+J+fPnw8nJCRcvXsSkSZO4LolYuICAAJw8eRKDBw/GG2+8gb///e90ICZWhzovWYl169bh7bffRkNDAxwcHODv74+cnBwEBATg4sWLcHNz47rEHkM7C1Nubi4KCwtRX1+PqqoqqFQqNDY2orGxEQ4ODlCr1RAIBPDy8gKfz0evXr3Qu3dv+Pn5ITIyEqGhoRAILO8jKhKJcPDgQTz//PM4fPgwZs2ahW+//dYiXwu5Y926dTh06BAA4NChQ1i3bh1WrlzJcVXmiwbh70BPGIQ/LCwM+fn59z0vFApRV1dHB7wuysnJwd69e3HlyhVkZWVBKpVCJpPpZoMRCATQaDRwcnKCWq2GjY2N7uHs7Iy6ujowDAN3d3fcuHEDzc3NcHd3x+3btwHc6Rjk4OCAsLAwODg4ICYmBrGxsZgwYYLFvBfffvttfPbZZ4iNjbXocLXmQfjbOn6EhYUhLy+Pg4q40ZkssMx3OdHbunXrWv1QAHfG//3ggw+wfPlyE1dleeRyOfbs2YODBw/i0qVLKCsrg0qlAgC4ubmhV69e8PX1xdChQ9GnTx+Eh4cjKioK/fv3h5ubm163KKhUKly/fh35+fnIz89HQUEBSkpKIJPJkJeXh7S0NGzevBk8Hg8eHh4IDQ3FsGHD8MgjjyA2NtYsb4N49dVX4eLign//+9+YMWMG9uzZY7Hhao3aO35cvXoVGzZsoONHK6jF2gFLb7E6OztDoVC0+XuRSIS6ujoTVmQ5rly5gk8++QSHDx/WncKtq6uDp6cnIiIiMGrUKEyePBnDhg0zSagpFAokJyfj6NGjSE9PR2FhIRQKBXr16oXGxkYMHToUM2fOxOzZs82uV/dHH32Ed955B6NHj8aPP/5oll8C2mOtLVY6fvxPZ7KAgrUDlh6sAoGg3UGzbWxsaMScu6SmpmLr1q3Yt28fampqAACenp5ISEjAo48+iilTpsDOzo7jKv/nxo0b+OWXX/DTTz/h4sWLUCqVsLW1Rf/+/TFp0iQ888wzkEgkXJcJAHj//ffx7rvv4oEHHsAPP/xgUeFqrcFKx4//oWA1IEsPVvrG2bHq6mr861//wq+//ory8nLY2trC398fU6ZMwZIlSyxmajyGYXDw4EHs3LkTp0+fxq1bt+Dv7w8vLy/87W9/w8yZMzkPs/Xr1+O9997DuHHjsGvXLs7r0Ze1BisdP/6nU1nAknbJZDIWACuTybgupUvWrl3LAmjzsX79eq5L5MyJEyfYkSNHsjY2NiyPx2MHDBjALl26lK2oqOC6NIO4ePEi+9xzz7ESiYR1cHBge/fuzf7tb39jy8vLOa3rrbfeYj09Pdknn3ySbW5u5rQWfZWWllr0caCr6PjxP53JAgrWDlh6sLIsy4aFhbX6oQgLC+O6NE589913bJ8+fVgej8e6ubmx8fHx7IkTJ7guy2iamprY//73v+ywYcNYJycnViQSsY888gj7+++/c1bT66+/znp6erILFiywiHAtLCy0+ONAV9Hx4w4KVgPqCcHKsiy7fv16ViQSsTY2NqxIJLKqb5paW7duZSUSCQuAFQqFbFJSEltTU8N1WSaVm5vLzp8/nw0PD2d9fHzY4cOHsykpKZzU8tprr7H9+/dn//Wvf3Gy/844evRojzgOdNX69etZPp/PAmD5fL5VHj86kwWWcYGDdNvy5ctRV1cHjUaDurq6HttFft26dXB2doZAIICzszPWrVuH/fv3Y9CgQXj22Wfh4OCAV155BTKZDNu2bYOrqyvXJZtUeHg4tm/fjszMTDz33HMoKSnBI488gri4OJw7d86ktfz73//G2LFj8Z///Mfs53S9fv061yVw6t4OTO11aCKga6wdsbQWa3Nzs0WcWjOG0NDQNq8FOTk5sStWrLDav01b6uvr2eXLl7Oenp6sSCRiExIS2OzsbJPtv7m5mZ0wYQLr7+/Pnjp1ymT77aw1a9ZY1HHAkNr6XNGp4LZRi7UHYRjGasdlbe9GdgB45ZVXsG7dOovphWoqjo6OWL9+Pa5du4akpCQUFxdj1KhRePrpp9vtDWoofD4f33//Pdzd3bFw4UKUlJQYfZ+dpdFoIJVKuS6DE/oMEEHuR7fbdMBSbrfRhiqfz7fK8KDbAgyjsrISL7zwAjIzM6FWq7FhwwY8/vjjRt9vVlYWHnnkEXh7e+Po0aNmNcBFXl4eNmzYgC+++MLsjwOGRp+r/+lMFljfEbgHsvZQBYCGhoZu/Z7c4eXlhd27d+PLL7+Eo6Mjnn76aUyePBmVlZVG3W9kZCQ2bdqE4uJizJ0716zOvOTn51vtMIz0ueoa6zwK9zBqtVoXrNbKwcGhW78nLY0ZMwaXL1/GokWLcObMGQwaNMjoHYwmTZqEpUuX4tSpU1izZo1R99UZ169fR+/evbkugxP0ueoa6z0S9xDamVTMaZg9Lrz66qvt/n716tUmqqTnEAgEeO+993Dy5EmEhYXhb3/7G6ZPnw65XG60fS5fvhwPP/wwfv31V+zdu9do+9GXRqNBaWkpAgMDuS6FE/S56hq6xtoBc77GqtFooNFoYGdnZ9WtVa3w8HBcvXr1vuetbXorY2AYBitWrMB///tfhIeHY9OmTRg2bJhR9qXRaBAfH4/KykocPXoUfn5+RtmPPvLz8/Hll1/ioYceQlxcnFkeB4yNPld30DVWK8AwDDQaDQQCgVWGqkajue86XF5eHtavXw+RSAQbGxuIRCKsX7/eqj78xsLn87Fhwwbs3r0bN2/exMMPP4ytW7caZV8CgQA7duwAwzB46aWXOL3empOTAwBW22IF/ve5srGxAXBn4H36XLXP4o7ImzdvRlBQEIRCIUaMGIG0tLQ2l92+fTt4PF6Lhzn1NuwOtVoNPp9vlZ0qtLNptPaFwloGwuBKQkICzp8/j9DQUKxYsQJJSUlGmd0kJCQEr7/+Os6cOYP169cbfPv6ys/PR58+fazyy+vdli9fjpkzZwIAZs6cSZ+rDljUu+X777/HsmXLsGbNGmRkZGDgwIFITExst8eiWCzGzZs3dY/i4mITVmwcSqUSgHVeV9UexK3xC4W58PLywokTJ/DEE0/gwIEDeOihh1BbW2vw/Tz11FOIi4vDli1bcOXKFYNvvyMKhQJSqRRhYWEm3zexbBYVrO+//z4WLVqEpKQk9O/fH1u2bIGjoyO2bdvW5jo8Hg8SiUT38Pb2NmHFhqftAWxtocowDFQqFQAKVXMgEAiwZcsWvPPOO8jMzMSoUaNQUFBg8P1s3rwZTk5OeO6550w+72dOTg4YhkH//v1Nul9i+SwmWNVqNdLT05GQkKB7js/nIyEhAampqW2up1AoEBgYCH9/f0ydOhVZWVnt7qexsRFyubzFw1xoNBqo1Wqr66ykfd0CgYBC1cw8/fTT2LVrF+RyOWbPno2MjAyDbt/NzQ3vvPMOioqKTH4LTl5eHjw8PODh4WHS/RLLZzFH56qqKjQ3N9/X4vT29m5zuLHw8HBs27YNe/fuxTfffAOGYTBq1CiUlZW1uZ+1a9fCxcVF9/D39zfo6+gqbYtNIBBYVWtVrVZTqJq58ePH49ChQ7h9+zamTp2K06dPG3T7U6dOxcSJE/H111/j/PnzBt12e65du2Yxk9ybgvYGErqRpGMWE6xdERsbi3nz5mHQoEEYO3YsfvrpJ3h6erbbm3HVqlWQyWS6R2lpqQkrbpv2NCiFKjFHAwYMwO+//w5HR0fMnDkTKSkpBt3+hx9+iJCQECxdutQkvYTLyspQV1eHfv36GX1fpOexmGD18PCAjY0NKioqWjxfUVEBiUSi1zZsbW0xePBgXLt2rc1l7O3tIRaLWzy4pg0YazoFrFaroVQqYWdnZ1VfJixZcHAwUlJS4ObmhhdeeAHJyckG27ZIJMLSpUtRXFyMDz74wGDbbUtOTg5sbGwoWO/C4/Fa/CRts5ijtJ2dHWJiYlp8E2YYBikpKYiNjdVrG83Nzbh8+TJ8fHyMVabBaU8BW1PAaDQaClUL5efnh6NHj8LR0RELFizAqVOnDLbtqVOnYuTIkdiyZQtu3LhhsO22Ji8vDwEBAfT+uwudCtafxQQrACxbtkw3KXJOTg4WL16M+vp6JCUlAQDmzZuHVatW6ZZ/88038dtvv6GwsBAZGRl46qmnUFxcjKeffpqrl9Bp2lPAPeX+245oNBooFAoIBAI4OjpyXQ7pAi8vL+zfvx9isRhPPvkkMjMzDbbt999/HyzL4uWXXzbYNu+lVqtRWlqK0NBQo+3DElGw6s+ignXWrFnYuHEjVq9ejUGDBiEzMxOHDx/WdWgqKSnBzZs3dcvX1NRg0aJFiIiIwKRJkyCXy3HmzBmL6T6v7Q0rFAqt4hSwtqUqEAggEom4Lod0g6+vLw4ePAhvb2/MmjXLYPOsBgQEYOHChbh69apBTzXfLTc3F7a2toiMjDTK9i0VnQrWH40V3AEuxwqura21mpBhGEZ3a5NYLLbILxI3btzA1atXUVJSAplMhvr6etTX18POzg62trZwcHCAu7s7/Pz80K9fP737BliyzMxMTJkyBZ6enjh58qRB3ssajQaxsbFwdHTEsWPHDP5e+fbbb1FYWNhiAPqysjL4+/tb5VjBWrNnz8Z3332HJ554Al9//TWOHz8OuVyOyZMnW8Up885kAXW1NFNKpRIajcYqQhW4c7+xWq2Gm5ubxYRqQUEBDh06hOzsbFy6dAkCgQA8Hg81NTWQSCRwcHCASqXSndKuqqpCY2Mj7O3todFoIBaLERkZiaioKPzlL39BQEAAx6/I8AYNGoStW7ciKSkJjz76KA4fPtzt/78CgQArVqzAsmXLsGPHDt2lIENgGAZXr15FVFSUwbbZU9x9Knjjxo04cuQIFAoFCgsL8Y9//IPj6swLtVg7wEWLlWEYVFdXw9HR0SquM6pUKtTW1sLV1dXsryVXVlZix44dSE1NRU5ODtzc3BAQEICAgAAMGjQIERER6Nu3b5tfiBQKBUpLS5Gbm4vs7Gxcv34dBQUFYBgGERERGD16NKZOndrjWkWffvop1q9fj0ceeQQff/yxQbaZmJiIiooKnD171mDvm+vXr+Ozzz7DwoULER4ernueWqz/a7HGx8dDIBBg9uzZKCwsRGpqKg4cOGD2n93uoharhVMoFODz+T3+jQrcOa0nl8shFArN+vXm5ORg69atSE5OhrOzMyIiIrBy5UpMmTIFbm5uem9HJBIhIiICERERmD59OoA7p/yPHTuGM2fOYPv27di5cycefPBBzJkzB76+vsZ6SSb1/PPPIysrC99++y0GDx5skFbmm2++ieeeew6bNm0y2KDwly9fhlAopI5L7bh+/TomTJig6/WdkpKCU6dOtRgVz9pRsJoZbYclkUhkMadEu6O2thZ8Pt9sWwFlZWV44403cPHiRYhEIkybNg3PPvusQU/burq6Yvr06Zg+fTpu3LiB7777DhcuXMCxY8eQkJCAp59+2mz/Pp2xadMmZGVl4V//+hdiYmIQHR3dre2NGDECoaGh+Oqrr/DCCy8Y5OxObm4u+vbtaxWfva5Sq9WYOXMm+Hw+Ro4cCRsbG+Tm5lKw3oXePWZGLpdDIBCYdevNUORyOTQaDVxdXc3uQMYwDD744AM8+eSTOH36NKZNm4b9+/fj7bffNuq1UF9fXyxbtgxbtmxBYmIiUlJS8PLLLxutB6wp8fl8/PDDD5BIJFi8eLHuVrLueOWVV1BXV4fNmzd3e1uVlZWoqqqi66sdsLW1xYMPPgjgzvgC9vb27Q4Ta43M62hm5VQqFdRqtVVdVxWLxWY3XGFhYSEeeughfP311wgODsZvv/2G1157zaQdycRiMV588UVs3boVvXr1wgcffIA333wTCoXCZDUYg5eXF95++20UFBTg73//e7e3N3ToUMTExODrr7+GWq3u1rYuX74MGxsbi7kdz9S0f18PD48WX4TFYnG7U3daIwpWM6JQKKxmtKHq6mrY2dmZ3ZeIffv2YerUqaipqcGrr76KHTt2wM/Pj7N6/Pz8sH79et29mytWrDDYPaFcSUxMxKxZs7B3717s3bu329t75ZVXIJPJ8Omnn3ZrO9nZ2QgKCrKKs0VdUVVVBQD3jVzn5ORk8V/4DI2C1UyoVCqrub2mtrYWTU1Nner0YwobNmzA3/72N4SEhOCXX37BjBkzuC5JZ8aMGVizZg3q6+uxcuVKg45mxIX33nsPAQEBWLFiBaqrq7u1rREjRmDw4MHYvn17l1utCoUCFRUVNChEO7TBeu8xysbGBnV1dVyUZLYoWM2EQqGAUCjs8a1VbS9gZ2dns3qtr7zyCnbu3In4+Hj88MMPZtkbNzQ0FO+//z48PDzw6aefGnzuU1MSCAT44osvwDAMlixZ0u3tLV++HHK5HNu3b+/S+pmZmRAIBN3uUNVTaTQa1NfXt/o7BwcHE1dj/ihYzYA1DQZRXV0NPp8PV1dXrkvRWb58Ofbt24fx48dj27ZtZhX493Jzc8O6devg6uqKjRs3Iisri+uSuiw6OhozZ87E0aNHcfDgwW5ta/To0YiKisKXX37ZpWnlsrKy4Ovr2yN6XxvDlStX0NTUBOD+IQ1Zlu329e2ehoLVDGhbq+bWicfQlEol6urqzGp0pbfeegv79+/HpEmTsGHDBrOpqz2Ojo5YvXo1vL29sWnTJovukfnGG2+gd+/eeOONN7p9cF64cCFu3ryJffv2dWq92tpalJSUYMCAAd3af0+WmZmp+2zcO6YQj8ejgfnvYf5HkR5OqVRaTU/gqqoqODg4mM1r3blzJ3744QeMGDECGzZs4LqcThGJRPjXv/4FHo+H9957z2JbDAKBAO+//z7Ky8vx1ltvdWtbU6ZMQb9+/fD99993ar3MzEzY2NhQsLYjJydHd5bp3hYrwzA0MP89KFg5Zi3XVuVyORoaGsymw1JWVhZeffVVuLu747///a9FtFTv5ebmhqVLl6KysrLbPWK5NHbsWMTGxuKrr76CVCrt8nb4fD7Gjh2LtLS0Ts3Xmp2djcDAQKu4FNMVKpUKpaWlutPk955ql8vlkMlkXJRmtizvaNKDqNVq3ShLPd3t27fh5ORkFrcyqNVqLFq0CJ6envj2228t+hR8eHg4Hn/8cWRnZyM1NZXrcrps/fr1YBgGK1as6NZ2kpKSwOPxsG3bNr2Wr66uRnl5OXVaakd2djZEIhFcXFwA3N9ibW5uNpuzUOaCgpVD1jLKklwuh1qthoeHB9elAABee+01lJWVYc2aNT1i6rapU6eid+/e2LVrl0FGM+JCcHAwZs2aheTk5G71dpZIJBg4cCD279+vVycmOg3csZycHDAMA2dn51Z/39jYaNFfTo2BgpUjGo0GCoXCKlqrVVVVZtNavXTpEg4ePIi4uDhMnjyZ63IMJikpCXV1dfjpp5+4LqXL1qxZg8DAQKxevbpb23niiSdQWVmJkydPdrhsVlYWQkJCzOK9aa6uX7+OoKAg3eWS1q6xOjk5cVGa2aJg5Yh2BpuefgpFe23VXG6vefvtt9HQ0GCwqcvMRUBAAMaNG4cTJ06gtraW63K6RCQS4ZFHHkFGRka3TmtPmzYNzs7O+Oabb9pdrrKyElKplFqr7WAYBjdv3mx3th+lUtnj+4h0FgUrR7StVUvsNNMZNTU1cHR0NIuW+dGjR5GSkoKkpCSz6URlSNOnTwfLsti/fz/XpXTZSy+9BBcXF3zwwQdd3oZAIEBCQgJOnz7d7lB76enpcHZ2pkH321FWVgalUomQkJA2l6moqOjxx7HOor8GB5RKJZqbm80ibIxJrVZDoVCgV69eXJcCAPj4448REBCAV155hetSjEIsFiM2NhYZGRkWe61VKBTq5vm8cuVKl7eTlJSExsZG7Ny5s9XfMwyD7Oxs9O3bl1pb7SgoKIC9vT3CwsLaXMbJyQne3t4mrMr8UbByQKFQwNbWtsd/oLUzXpjDaeDMzEzk5eVh6tSpPfrv/tBDD6GhoQFnzpzhupQuW7x4MRwcHPDee+91eRtRUVEICwvDsWPHWv19QUEBZDIZBg8e3OV9WIPS0lK4ubm1OyJVQ0NDj28kdBYFq4lpNBo0NDT0+KHTGIaBTCYzm9bqhx9+iJqaGrz00ktcl2JUEokEAQEBSEtL47qULhOLxZg4cSKOHTumG/i9KxITE1FUVNTqPa0ZGRlwdXVt9xQnAcrLy+Hl5dXm75VKJcrLy3W34pA7KFhNTKFQgGVZq+i01NzcbBbXMhmGwcWLF5GQkNDjv9AAd+YoraiosNhOTACwbNkyNDc346OPPuryNmbMmIHbt2/fd81ZpVIhLy+POi3poaamBv7+/m3+vrS0FJ6envdNJWftKFhNTC6Xw9HRscdf7L99+zZsbW3N4jaGffv2oaGhAdOnT+e6FJMYMWIEWJbFpUuXuC6ly0JCQjBs2DAcO3YMGo2mS9sICAhA796977vt5s8//4RGo0FMTIwhSu2xKisroVKpEBQUBOB/YwTfPS5waWkpWJalYL1Hzz66mxm1Wo2mpqYefz2CYRjU1dWZzWngPXv2QCaTYerUqVyXYhJisRi9evXC1atXuS6lWxYtWoSioqJu3ZsbExODS5cutRgsIjMzEwEBAWZxNsWclZWVobm5Wddi1d6/evd9rEVFRaisrERAQAAnNZorClYTksvlVnHvam1tLRiGMZsDV2FhIUaOHGlVo8MEBwejoqKC6zK6JTExEV5eXti1a1eXtzFhwgQ0NDTg1KlTAO60wsrLyzFo0CADVdlzSaVSiESidq+xVlRUwMvLC4GBgSaszPxRsJpQfX29VYxQUlNTAwcHB7PofSuXy1FRUWF1B9Lg4GDI5XKLve0GuDOo/rRp01BQUIDq6uoubWPcuHGwt7fHkSNHAAAXL16ESCSisYH1UFFR0eGQn1KpFHZ2dj2+sdBZFKwmolKprGLAfXPrDXzy5ElUVFRg2LBhXJdiUhKJBGq12uJbrTNnzoRMJsPu3bu7tL6dnR369++PtLQ0aDQaXLp0CeHh4Wbxpc/c3bp1q8OzTgUFBRY7ZaExUbCaiFKpBIAe/81OoVCgubnZbHrfXr58GR4eHhgzZoxJ96vRaPC3v/3NpPu8m7e3N2xsbHDr1i3OajCEiIgI9O7dG4cOHeryNh544AEUFxfj5MmTUCqVVvclq6tkMhk8PT11/26tE5larUafPn1MWZZFoGA1EYVCAQcHB67LMLqamhrweDyz+QJRXFwMR0dHkw9SMX36dHzyySeYMmWKSferJRaL4ejo2O6QfpYiPj4ely9fhlwu79L6kydPBsuy+Oqrr9C7d2/4+voauMKep7a2Fnw+v8Wp4NOnTwMATpw40WI5d3d3k9dn7iwuWDdv3oygoCAIhUKMGDGiwxvhd+/ejX79+kEoFGLAgAE4ePCgiSr9H4ZhrGZ0krq6ujanl+LC9evXObnO+Ntvv7X4yZXGxkZO928Is2bNQlNTE/bs2dOl9YODg+Hm5oaLFy9iyJAhBq6uZ6qoqEBjY2OLYNVeVtD+ZBgG165dM4uR1cyNRQXr999/j2XLlmHNmjXIyMjAwIEDkZiYqBs6715nzpzB7NmzsXDhQly8eBHTpk3DtGnTujUGaVdoWw09PVgZhkF9fb1ZBSsAk7VQwsLC4OnpCU9PT911J7VarXuuvfFWjUEgEKCpqcmk+zSGQYMGwcvLC0ePHu3yNnr37g2lUkkD7uupsrISPB4PY8eO1b1/tbcsMQwDT09PeHh4QKFQmPx9bQksKljff/99LFq0CElJSejfvz+2bNkCR0dHbNu2rdXlP/roI0ycOBHLly9HREQE/v3vf2PIkCH45JNP2txHY2Mj5HJ5i0d3aadV6um3eygUCjAMYzbXVwGgqanJJKfgpVIp8vPzUVVVdd8wfNrn8vPzIZVKjV6LllAohI2Njcn2Z0yjR4/G+fPn9Zq8/F5qtRp2dnZoaGjAzZs3jVBdzyOTyWBjY4Nr1661+Z6uqalBc3MznQpuhcUEq1qtRnp6OhISEnTP8fl8JCQktDl3Y2pqaovlgTv3xrU31+PatWvh4uKie7Q3nJe+rOU2G3O8T1d7ADA2iUSCHTt2tLvMzp07O7x9wZBUKlWP6f364IMPgsfjdWlygYsXL8LLywtCoRDnz583QnU9T3V1NQIDAzt8T9va2mLChAkmqspyWEywVlVVobm5+b7piby9vdtsBUil0k4tDwCrVq2CTCbTPUpLS7tVt1qthkaj6fGngYE711fNbY5ZZ2dn2Nvbm2Rf8+bNazPEa2pq8OSTT5qkDuDO6bqmpiaTvXZj+8tf/gK1Wo0//vij0+tmZmZixIgREIlEJr8MZKlkMhlcXV3bfU/PnTsXnp6e7Q4gYa3M5whoJuzt7SEWi1s8ukN7etQcxsw1NrlcbnYHcldX1y6dPuyqv//9760+v3TpUpPVAPzv9q6e8oVOJBKhd+/enR7/OD8/H7du3cLw4cPh7++PvLw8I1XYsyiVSl2npLbe00ePHjXIGb2eyGKC1cPDAzY2Nvfd8N7e6CASiaRTyxuDQqGAUCg0q1acMWh7PpvTaWDgzrimhYWFJtvf3r17Ady5TLF161bd//eff/7ZZDUAd27uFwgEPao10a9fP+Tn53dqnXPnzsHd3R2hoaHo27cviouLjVRdz6FWq6FSqXSDvGjf0/e6ceOGVTQYusJijvZ2dnaIiYlBSkqK7jmGYZCSkoLY2NhW14mNjW2xPAAkJye3ubwxNDQ0WMX9q9pbWswtWHv37o3GxkaTtVoXLFiAYcOGobGxEc888wwaGxsxbNgwLFiwwCT719L26vTw8DDpfo1p8ODBqKqq0rsDmFQqRVFRkW5AiIiICFRXV3d5eERroZ1uUBus2vf0Y489BgB47LHHMHToUNjZ2dHgEG2wmGAF7szR+J///Ac7duxATk4OFi9ejPr6eiQlJQG4c41r1apVuuVffPFFHD58GO+99x5yc3Px+uuv48KFC1iyZIlJ6tVeXzW3sDEG7alHc/sGO3DgQDg5OZns2tpHH32EtLQ0XQ9wgUCAtLS0bs0r2hVSqRSenp49pvMScGcEJQD3TQPXltTUVDg6OurGidbew5qenm6U+nqKuro62Nra6iYvb+09/cUXX8DT09PqxuDWl0UF66xZs7Bx40asXr0agwYNQmZmJg4fPqzroFRSUtKiO/2oUaOwa9cufP755xg4cCB+/PFH/PLLLya7l02pVKK5udlqgpXP55tdsMbFxeHWrVs4fPgw16WY1M2bN+Hn58d1GQbVv39/ODg44MKFCx0uq1AokJubiyFDhugCITo6GjY2NsjMzDRypZZNJpOBz+e3O/DDqVOncOvWLZOe/bMkFndj5ZIlS9pscR4/fvy+52bOnImZM2cauarWqVQq2NjY9Pj7VwHzPeUdFRUFoVDY7i1WPY1cLkdNTQ1GjhzJdSkGxefzERkZifLy8g6XPXfuHHg8HoYPH657zs7ODj4+PtSBqQNKpRK2trbtnu3IyMgAn8/H4MGDTViZ5bCoFqulaWxsNLsWnLE0NjaaZbACd661X7t2jesyTObq1auwt7dH3759uS7F4AIDA+8brOBearUaly9fRv/+/e87WxQWFqa7hkhap1QqO7wboqysDBEREVbRaOgKClYjUqlUZnf7ibHU19ebbc/noUOHIi8vz2pOAebn58PPz6/H3GpzN29vb1y/fr3dzmgXL15EU1NTqzMa+fv749q1aya9BcvSqFSqDge0+fPPP832i7Q5MM8jYQ/AMAwaGxut4voqcKfFamtry3UZrVq8eDF4PB4+//xzrksxuurqaty4caPHjt/q6+uL5uZm3Lhxo9XfazQanD9/HmFhYa3OJRoYGAhnZ2eTDi1paRoaGtptEGiHfaXJ4ttGwWok2ttPrOVUcHNzs9meFvL19cWoUaOwf//+Ht9SyczMhJOTE/r37891KUYREBAAAG3ej5qZmQmlUtlmpxo/Pz/dlw/Suubm5nbPdty+fRtOTk6Ii4szYVWWhYLVSKwtWDUajVkP+D5jxgzcvHmzw7FPLZlKpcLVq1cRERHRo26zuVtgYCCAO3cA3IthGJw/fx4hISFtDozRu3dvAKAWazs0Gk27x62bN2+itraWxghuBwWrkahUKtja2prtdUdD0rYCzbXFCgDPP/88XF1de/TpYO3sLzExMVyXYjS9e/cGn89vtcV56dIl1NXVYfTo0W2u7+PjA4CCtT0djaAml8vh6enZ6ql2ckfPP+pzRKlUWk3HJY1GAwBm/SWCz+fj+eefx4ULF/Dtt99yXY7BKRQK5OTkIDo6ukd2WtISCAStXiNlGAbnzp1DUFBQu0OWOjo6QigU4tatW8Yu1WI1Nze3e8bj9u3bPbLHuSGZ75HQwvWkKbs6og1Wc26xAsCrr74KFxcX/OMf/+hx11pPnz4NoVCIoUOHcl2K0fXq1eu+McCzsrJQX1+PUaNGdbi+s7MzDWvYBrVaDT6f3+6xS6PRUMelDlCwGol2cmVrwDAMGIYx6xYrcGeAgNdffx0sy2LFihVcl2MwhYWFujFxreGafu/evVtcz2cYBqmpqQgICNBrtCkXF5cO74W1Vmq1GjY2Nq0eu3g8HgDAxsaGrq92wLyPhBZKrVaDZVmzb8EZCsMwYFnWIlqBS5YsgYeHBz7++GO9hsYzd0qlEufOnYOfnx8iIiK4LsckNBpNi2DMzMxEXV1dq/ettqZXr140SEQbtJ0QW7t1jmVZAHdOFT/00EOmLs2iULAagUajAcMwVtNiFQgEutdsCQ4ePAiBQICZM2dCrVZzXU6XMQyDo0ePgs/nY9y4cVyXYzI8Hk93kNdoNDh37hz69u2r93SQbm5ukMlkxizRovF4vHYbBUKh0GoaDV1FwWoElnLN0VC0r1P7us2dn58fPvnkE5SXlyM+Pp7rcrrszJkzqKurwwMPPGA1A5EAdw782i9x6enpaGhoaLcn8L3c3d3N/rIFVxiGga2tbavHLu2XUO2kJ6Rt9O4yAgpW85eUlIQ5c+bg7NmzeOqpp7gup9MyMjJQWlqKIUOGwNfXl+tyTMrGxgYsy0KtVuP8+fPo169fp+addXBwoM5L7RAIBK1+8dAOyuHv72/qkiwOBasRaL/ZWUuwaj+Ezc3NHFfSOV9++SXGjh2LAwcOYPHixVyXo7fMzEzk5eVhwIABCA8P57ock9O2WM+ePQuNRqNXT+C7OTk5oampyWIuXZja3WcE7qa9d7inTUdoDBSsRmDuoxAZg/Y6q6VJTk5GUFAQtmzZgnnz5nFdTrsYhkFGRgby8/MRHR1tsnmFzQ2fz0dTUxMuXbqE6OjoducNbY2DgwPc3NygVCqNU6AF4/P5bTYItHNdW9uxrSsoWI2goxuseyIbGxuL7AgkEAiQnp6OkSNH4rfffkNsbKxuOMp169bB2dlZNyjBunXrOKtTrVbjzJkzKCwsxJAhQxAZGclZLVzj8/mora0Fn8/v8pyzNTU1Bq6qZ9CGqrbFqv0M3Ht7E2mfdZyrNDGNRqO758ta2NraoqGhgesyuoTP5+P06dN44oknsHv3bvj5+cHR0RGlpaW6ZRQKBVatWoUvv/zS5BNlV1VV4eLFi2hsbMSYMWP07v3aUzU2NqK5uRnDhg2zqk5bpiAQCGBrawuGYRAWFob8/Pz7ltm/fz8HlVkWarEagUajsboWq1AotOhTa3w+Hz/88AM2bdqExsbGFqF6t6tXr2LDhg0mqUmj0eDKlSs4e/YsHBwc8Je//MXqQxUAysvL4ejoiMGDB3drO9Qz+H52dnawsbHBhx9+2GqoAkBdXZ3JPgOWit5ZRqDRaKym45KWUChEfX0912V025IlSzrshPXmm28avY6ysjKcOnUKN2/eREREBEaNGkWtM9yZxF0qlcLHx8fqPmOmwOfz4eDggM2bN7e7nCk+A5aM3plGYI2ngp2dnXH9+nWLGNqwIx1dKzbWKW+GYSCVSlFcXAyFQgFPT0+EhYVRoP4/hmFw6tQpNDc3IyQkhOtyeiwnJyddP4O2WOplH1OhYDWCpqYmiw+XznJycgLLslAqlRY/u4qDgwMUCkW7vzckuVyOW7duobKyEo2NjXB3d0dkZCTEYrFB92PpMjIyUF9fDz6f3+Z8q6T7RCIR7O3t2w1PQ38GehrrOvqbiHZQemuiDYH2AslSvPrqqx3+XqFQQKlUQq1Wd3o4R6VSiaqqKhQWFiIjIwNZWVm4ffs2JBIJhg8fjgEDBlCo3kOhUOD8+fO6icpp9B/jcXd3x/z589tdZvXq1SaqxjJ1usU6f/58LFy4EHFxccaop0e4eyxTa+Ho6AiBQACZTGbxHWxWrlyJL7/8ElevXr3vd2FhYVi5ciU0Gg00Gg1UKlWLYL37VLj2CxbDMFCr1WhqatL1aG1uboaDgwM8PDzg6upKQdqBkydPwsbGRjdRufZnVzQ1Nener+R+Xl5eWLJkCQ4cONBqJz5nZ2csX76cg8osR6dbrDKZDAkJCQgNDcU777yD8vJyY9Rl0doauaQn4/P5sLe37zGzhuTl5WH9+vUQiUSwsbGBSCTC+vXrdbfaCAQCCIVCiMViXTA6OjrCzs4OfD6/RagCd3pbOjs7w9fXFyEhIRg0aBAiIiIQEBBAodqB4uJiFBQUYNSoUbpZbbozjKNCobDKnvv64vP5CAkJwaVLl/D222/rPgPae1mnTJnCcYXmr9PB+ssvv6C8vByLFy/G999/j6CgIDz00EP48ccf0dTUZIwaLY72wGptXF1de0ywAsDy5ctRV1cHjUaDurq6Nr+layeGdnR0hKurK9zc3ODl5QWJRAJfX1/dQyKRwM3NDSKRyOquwXcVwzA4ceIEvLy8EBUVhdLSUtja2iIwMLDL22xoaIC9vb0Bq+x5hEIhXF1d8c9//lP3GZg1axbXZVmMLn26PT09sWzZMvz555+6KZvmzp0LX19fvPTSS23e/2QtrDVY3dzcUF1dbZFDGxLzdP78ecjlct20eIWFhXBxcelWB7n6+noK1i7QXt6ytstcXdGtr803b95EcnIykpOTYWNjg0mTJuHy5cvo378/PvjgA0PVaHGsNVg9PT3BMAwqKyu5LoX0ALW1tcjMzMSAAQN0vYBv3rzZ7UHgGxoaqFcxMapOB2tTUxP27NmDyZMnIzAwELt378bSpUtx48YN7NixA7///jt++OEHq76B2FqD1dXVFba2thSsxCBSUlLg4OCA2NhYAHdOC1+7dg3BwcHd2m5VVRV1XCJG1elg9fHxwaJFixAYGIi0tDRcuHABzz33XIsOGOPGjev0jBMdqa6uxpw5c3SdRRYuXNjhrR3x8fHg8XgtHs8995xB62qNNfYKBu58ofDw8MDt27e5LoVYuEuXLqGiogJjx47VdTIqLi5GfX09hgwZ0q1t19bWwt3d3RBlWhVtvwDqH9CxTn9t++CDDzBz5kwIhcI2l3F1dcX169e7Vdi95syZozv13NTUhKSkJDzzzDPYtWtXu+stWrSoRevZFKPYaKe1skaenp7Izc3tESMwEW4oFAqcPXsWoaGhLToppaWlAQCGDx/ere3LZDK4ubl1axuEtKfTwTp37lxj1NGunJwcHD58GOfPn8fQoUMBAJs2bcKkSZOwcePGdrveOzo6mvy+Sms9FQzcOaNx8eJFSKXSbt0SQazX0aNHYWtriwceeKDF85mZmRCLxQgICOjythmGQV1dHTw9PbtbJiFtsogmRWpqKlxdXXWhCgAJCQng8/k4d+5cu+vu3LkTHh4eiIqKwqpVqzqcgaWxsRFyubzFo7OsOVg9PDwgFArp/mbSJXl5eSgvL8eYMWPuOytWWlra7Xloq6qqwDAMPDw8urUdQtpjEcEqlUrv68UnEAjg5uYGqVTa5npPPvkkvvnmGxw7dgyrVq3C119/jaeeeqrdfa1duxYuLi66h7+/f6frteZgBe60WsvKyrgug1gYpVKJM2fOoE+fPggNDW3xO4VCgaysrG4H640bNwDA4kcH48Ldo4uR9nEarCtXrryvc9G9j9zc3C5v/5lnnkFiYiIGDBiAOXPm4KuvvsLPP/+MgoKCNtdZtWoVZDKZ7tHWvJzt4fP5Fj03aXcFBASgtrYW1dXVXJdCLMjRo0fB5/PvOwUM3Okh3NzcjISEhG7to6ysDGKxuNu37Fgj6rykP077nL/88stYsGBBu8v06dMHEonkvls4NBoNqqurO/XNc8SIEQCAa9eutTntlL29fbdvHre3t0dTU5PVduDx9/eHra0tCgoKqJMI0UtWVhYqKioQHx/fagfDU6dOoVevXoiIiOjWfoqKitDQ0NCt67TWilqs+uM0WD09PfXqRBAbG4va2lqkp6cjJiYGwJ1vtwzD6MJSH5mZmQC6N4C3PrTXhnrCFGpdwefzERAQgOLiYgwbNozrcoiZq62tRVpaGkJCQtr8wnvx4kVER0d3+4tqaWkp3N3d6T7WLtDOMW1tc013hUU0pyIiIjBx4kQsWrQIaWlpOH36NJYsWYInnnhC1/O0vLwc/fr103XJLygowL///W+kp6ejqKgIv/76K+bNm4e4uDhER0cbtV7tN25rPh0cFBQEmUzW7jVwQhiGQUpKChwdHTFq1KhWl9FOq/eXv/yl2/srLy+n66tdRMGqP4sIVuBO795+/frhwQcfxKRJkzBmzBh8/vnnut83NTUhLy9PF2Z2dnb4/fffMWHCBPTr1w8vv/wyZsyYgX379hm9VqFQCB6PB5VKZfR9mSs/Pz8IhcJWp14jROv8+fNQKpUtBoK41759+yAQCJCYmNjt/d26dYuur3YRBav+LOZ8iJubW7uDQQQFBbUY7cjf3x8nTpwwRWmtsre3R0NDA2f75xqfz0ffvn2Rm5uLUaNG0ak3cp+SkhJkZ2dj8ODB7bYiT548iYEDB3Z7cBdth7qwsLBubYeQjlhMi9XSODg4WHWwAndO4Tc1NVn9bEfkfkqlEn/88QckEgkGDRrU5nIZGRmoqqrC5MmTu73PS5cuAQCioqK6vS1C2kPBaiQODg5obGzkugxOicVi+Pr64vLly1yXQswIwzA4fvw4+Hy+bjq4tnz33XcQCoWYNGlSt/d75coVCAQC9O/fv9vbskY0bZz+KFiNRCgUWn2LFQAiIyNRU1ODkpISrkshZiIjIwMVFRV44IEH2h1zXKFQ4I8//sBf/vKXNq+/dkZeXh58fHwMsi1rRNdY9UfBaiQODg5obm6GWq3muhROBQYGwtXVVXcajli3srIy5OXlYeDAgR12ItqzZw8aGxsxZ84cg+y7qKiozdt5CDEkClYj0Xa0sOaewVrR0dEoLy+neVqtnFwux+nTp+Hh4dHudVWtvXv3ol+/fvcNb9gVKpUKUqnUINuyVtRi1R8Fq5Fog7WjOWOtQXh4OEQiES5cuMB1KYQjGo0Gx48fh0AgwNixYzsc6EF7//m0adMMsv+LFy/C1dUVAwcONMj2rBGNvKQ/ClYjEQgEsLGxQV1dHdelcI7P52PAgAEoKiqiVquVOnPmDOrq6jB27Nh2r6tqffXVV/Dy8sIjjzxikP1fuHAB9fX1GDx4sEG2Z42o85L+KFiNSCQSdWnauZ4oKioKIpFINzIWsR5ZWVkoKirC8OHD9ZquLT8/H5cuXcKUKVP0CmF9/PnnnwgJCaGOS91Ap4L1R8FqRM7OzqitreW6DLPA5/MxbNgwlJaWUg9hKyKVSnHlyhWEhobqfX3zww8/BJ/PR1JSkkFq0Gg0yM/Pp/tXu4larPqjYDUid3d3NDU1Uav1/0VEREAsFuOPP/7guhRiAnK5HKdOnYKbm5vek2VkZGQgLS0Ns2fP7vZIS1qXLl2CSqXq1IQdhHQHBasRubm5gcfj4fbt21yXYjbGjh2L6upquv2mh1Or1Th+/DhsbW316qyk9fHHH8PDwwPz5s0zWC1nz56Fp6cnhg8fbrBtWiM6Faw/ClYj4vP5EIvFFKx38fPzQ0hICM6ePUu3IvVQDMPgxIkTUKlUGDdunN7XNY8fP46srCwsXLjQoNdCz507B4lEYrDrtdaKglV/FKxG5ubmBplMxnUZZmXMmDFgWZZOCfdQ586dQ1VVFcaMGQOxWKzXOgzD4JNPPoG/vz8effRRg9Uil8tx7do1aq0aAAWr/ihYjczd3R2NjY10P+tdxGIxhgwZgqysLOrI1MNkZWWhuLgYQ4cO1c2VrI+ff/4ZxcXFWLx4cbcnM79bSkoKGIbB+PHjDbZNa0X3seqPgtXI3NzcAIBOB98jJiYGnp6e+P3336HRaLguhxhAQUEBrly5gv79+3dqhCO5XI5vv/0Wo0ePNngAamfQCQ4ONuh2rZGNjU2Ln6RtFKxGJhAIIBaLUVNTw3UpZoXP52P8+PFQKBRISUnhuhzSTWVlZUhPT0dQUBCio6M7te7atWtx69YtvPDCCwatiWEYXLp0CUOHDjXodgnpCAWrCbi6uqK6uprrMsyOl5cXYmNjceXKFZqz1YJVVVXh7Nmz8PLywrBhwzq1bnJyMo4fP465c+cafBzf1NRUNDU1IT4+3qDbJaQjFKwm4ObmBoVCQddZWzFs2DD4+/sjOTmZ/j4WSC6X448//oCzszPGjBnTqeujtbW1eO+99xAeHo6//vWvBq8tOTkZQqGQ7l81EBogQn8UrCbg5eUFPp+Pmzdvcl2KWdJOYn3gwAHqGGFBlEolTp48CUdHR4wdOxYCgaBT67/55ptQqVR44403DNphCbgz2tLZs2cxYsSITtdFSHdRsJqAQCCAu7s7DUDfBpFIhIkTJ6K4uBgnT57kuhyiB5VKhRMnToDP53c4YXlr9u/fj9TUVDz99NMIDAw0eH0nT55EXV0dHn74YYNv21rR7Tb6o2A1EYlEgtu3b1v9xOdt6dOnD0aOHIm0tDTk5ORwXQ5ph1qtxokTJ9Dc3Iy4uLhODz1YVlaGbdu2YfDgwXjyySeNUuORI0fg5ubW6Wu+hBgCBauJ+Pj4gM/no7y8nOtSzNaYMWPQp08fHDlyBDdu3OC6HNIKbag2NjYiLi4OIpGo0+uvXLkSDQ0NeP311w1+Chi4c4r6ypUrGD16tFG2b63oPlb90bvORIRCIcRiMUpLS7kuxWzx+Xw88sgjEIlE2L17N80MZGY0Gg3++OMPKJVKxMXF6T2qkhbDMHjzzTchk8mwevVqeHl5GaXO/fv3o7a2FjNmzDDK9gnpCAWrCfn7++P27dtQKpVcl2K27Ozs8MQTT8DGxgbff/89/a3MhEajwalTp1BfX48HHngArq6und7Gli1bcOLECTzxxBOIjY01fJH/78CBAwgPDzf47TuE6IuC1YR69+4NPp9PrdYOiEQiPP7446ivr8fu3btpZCaOaUNVLpdj1KhRutHEOmPv3r349ttvMWXKFMyZM8cIVd5x5coVFBYWYsqUKUbbh7Wizkv6o2A1ITs7O0gkEpSVlXFditnz8vLCjBkzUFNTg++//56u63BEo9EgNTUV9fX1GDVqFDw8PDq9jfPnz+PDDz/E0KFD8Y9//MMIVf7PDz/8AJFIRL2BCacoWE3M398fcrmcrh/qITAwEImJiSgqKqJw5YBarcapU6egUCgQGxvbpVDNysrC2rVrERwcjLVr1xq1M5FCocCZM2c6NVUd0R+1WPVHwWpiEokEtra2NKuLniIiIjBt2jSUlpbim2++oduVTESlUuHMmTNoaGhAbGxsl07/5uXl4ZVXXoG9vT3Wr19v9PlQf/nlF6jVasyaNcuo+7FWNPKS/ihYTYzP58PX1xfFxcXUAtNTZGQkpkyZgtLSUnz11Vc0QbqRKZVKnDlzBs3NzRg9enSXOirl5+fj5ZdfhpOTEz766KMutXY7g2EY7N27F8OGDTPKgBOEgrUzLCZY3377bYwaNQqOjo56f9BZlsXq1avh4+MDBwcHJCQkmMVg73379kVjYyOKi4u5LsViRERE4Mknn8StW7ewbds2GlfYSORyOVJTU8Hn8xEbG9vpW2oAICcnB2vWrIFQKMTHH39stNtq7pacnIzKykqDTpJOWtKexqd7gztmMX8htVqNmTNnYvHixXqvs379enz88cfYsmULzp07BycnJyQmJnLe4hGLxfDy8sK1a9c4rcPSBAcHY/78+aivr8cXX3xBMwYZWHV1NVJTU2Fvb6/7EttZ58+fx7Jly9Dc3IxPPvkEEonECJXe77vvvkNQUJBRb+OxdtRi1Z/FBOsbb7yBl156CQMGDNBreZZl8eGHH+K1117D1KlTER0dja+++go3btzAL7/8Ytxi9dCnTx/IZDJUVVVxXYpF8fX1RVJSEng8Hj7//HNq9RuIVCrFuXPnIBaLMXLkyC51/jlw4ADWrFkDiUSCzz77zGSheu7cORQWFmLWrFnUmjIi6rykvx77Lrx+/TqkUikSEhJ0z7m4uGDEiBFITU1tc73GxkbI5fIWD2Pw8/ODo6OjWZyatjQeHh5YsGABXFxc8M033+D06dNcl2TRSkpKcPnyZXh6enZpNhiGYbBp0ya89957GDBgADZv3tylzk5d9cMPP8DLywsTJ0402T4JaU+PDVapVAoA8Pb2bvG8t7e37netWbt2LVxcXHQPf39/o9UYEhKCGzdu0OhCXSAWi7Fo0SKEhobi4MGD2LlzJ+en+C1RTk4OcnJy4Ovri6FDh3a6xadQKPCPf/wDP//8M6ZPn461a9d26RRyV50/fx7p6el4/PHHqbVqZDRWsP44fSeuXLkSPB6v3Udubq5Ja1q1ahVkMpnuYcxRkoKDgyEQCEz+GnsKgUCAxx9/HNOnT8e1a9ewefNmGnxDTwzDIDMzEyUlJQgLC0NkZGSnt3H9+nUsWrQI2dnZWL58Of72t7+ZPNw+//xzSCQSTJ8+3aT7tUbUeUl/nM4A/PLLL2PBggXtLtOnT58ubVt7faeiogI+Pj665ysqKjBo0KA217O3t4e9vX2X9tlZdnZ28Pf3R2FhIaKiouim9i4aOnQoAgICsGvXLnz++edITEzE6NGjuS7LbKnValy8eBFyuRwDBw7s0rXQI0eO4OOPP4ajoyM++OADREREGKHS9h0/fhz5+fl45ZVXaDJzE2hubm7xk7SN03ejp6cnPD09jbLt4OBgSCQSpKSk6IJULpfj3LlznepZbGz9+/dHYWEhcnNzER0dzXU5FsvLywtLlizBL7/8gkOHDiE/Px+PPvpol24X6ckUCgUyMzOh0WgwbNiwTt+jKpfL8eGHH+LChQuIiorCqlWrunSfa3cxDINt27YhMDCQrq2aiPbLC32J6ZjFtOlLSkp0p66am5uRmZmJzMzMFvcz9uvXDz///DOAOz3Xli5dirfeegu//vorLl++jHnz5sHX1xfTpk3j6FXcTygUIigoCPn5+TSqUDcJBAI89thjePTRR3Hz5k1s2LABx48fp2tC/6+yshIXLlyAjY0Nhg8f3ulAPHLkCJKSkpCWlobZs2fj3Xff5SRUAeDgwYMoKSnBwoUL6dSkidDtNvqzmK8eq1evxo4dO3T/Hjx4MADg2LFjiI+PB3BnCDWZTKZb5pVXXkF9fT2eeeYZ1NbWYsyYMTh8+LDRh1brrP79+6OoqAjZ2dntnqYm+hkyZAj69u2Lffv24eDBg0hPT8e0adMQEhLCdWmcKSgoQFFRETw9PdG/f/9OtTqkUinef/99ZGZmIioqCsuWLYOfn58Rq22fRqPBN998g7CwMMTFxXFWByFtsZhg3b59O7Zv397uMvd+k+LxeHjzzTfx5ptvGrGy7nN0dERQUBDy8vIQFhZm0l6VPZVYLMacOXMwcuRI/PLLL9i6dSuio6PxyCOPWNXpYY1Gg+zsbNy6dQtBQUGd/nLx/fff45tvvoGtrS3+/ve/Y/LkyUaqVH+7du1CbW0tVq5cyXUpVoVarPqjcyhmIjo6GjY2Nrh48SLXpfQoISEheOmllzB58mTk5eVhw4YNOHr0qFXM8apSqZCeno7q6moMGDCgU6Ganp6OF198EV988QViYmLw3//+1yxCtbq6Gt9//z1iYmLo7A4xWxbTYu3p7OzsEBkZiYyMDISHhxt90HJrwufzERcXhyFDhmDv3r04fvw4jh8/jgceeABjx47tkb2xq6qqkJubC4FAgKFDh0IkEum1XmZmJr7++mvk5ubCx8cHa9asMase1h9//DEYhsGLL77IdSmEtImC1YyEh4cjPz8f6enpSExM5LqcHkckEmHOnDkoKyvDkSNHcOjQIRw7dgwjR47EX/7yF73Dx5wxDIPr16+jtLQUHh4e6Nevn17XUy9cuIBdu3YhNzcXXl5eWLx4MSZNmmRWHYMyMzNx8uRJzJkzxyQD+xPSVRSsZoTP52PIkCE4ceIEiouLaforI/Hz88PChQtRWVmJ5ORk/PHHHzh16hSGDh2KCRMmcNbTtbvUajWuXLkCuVyOPn36ICAgoMN1Tp06hd27dyM/Px/e3t5YsmQJJk6caFaBCty5Vvzee+8hNDQU8+fP57ocq0RjBeuPgtXM+Pn5wcfHBxkZGejduzfdM2ZEXl5emDNnDh5++GGkpKQgLS0NGRkZ6NOnD0aOHImoqCizC5i2VFdXIycnBwAwaNCgdr8c1NbW4tChQ0hOTkZFRQUCAwPx4osvYvz48Wb7ej///HNIpVK8++679JkgZo/eoWZoyJAhOHToELKzs2nQCBNwdXXFjBkz8NBDD+GPP/5AWloatm7dCicnJ0RHR2PYsGEIDw/nusxWMQyD0tJSlJSUwNnZGf3792/1mrFarcYff/yBEydO4MqVKwDuzHG7aNEis59qLScnB3v37sXEiRMxZMgQrsshpEMUrGbI1dUVffv2RW5uLvr27Uu335iIo6MjEhMTkZiYiPz8fKSlpeHSpUtITU2Fi4sLBg4ciEGDBiE0NNQsWnYqlQq5ublQKBTw9/dHUFBQi98rFAqcO3cOmZmZOH/+PBoaGuDj44Np06Zh4sSJFnGdUqPRYP369XB3d8cLL7zAdTmE6IWC1UwNHDgQxcXFSEtL0w2AQUwnNDQUoaGhmD17NrKzs3H+/HlkZGTg6NGjEIlECAkJQXh4OEJDQ/W6lmlolZWVKCgogEAgQHR0NMRiMRiGQV5eHs6fP48///wTRUVFYBgGEokEcXFxGD9+PEJDQ01ea3ds27YNZWVlWLt2rdkN7EJIWyhYzZSdnR0GDhyI06dPo7CwsMuTEZDu4fP5iIqKQlRUFDQaDfLy8nDp0iUUFRXh+++/BwA4ODggICAAwcHB8Pf3h7+/P7y8vIzSqtVoNLpRlNRqNViWRUZGBsrKylBQUAAejwe1Wo3Q0FDMmjULo0aN4nSUpO7Iz8/Hnj17MH78eAwdOpTrcqwedV7SHwWrGQsNDUVRURFSU1Ph5eXVI24HsWQCgQCRkZG6KdaUSiVyc3Nx7do1FBYW4uzZszh48CAAwNbWFp6ennBzc9M9XF1d4ejoCAcHB91PkUgEoVAIPp8PjUYDuVwOhUKB+vp61NfXQ6lU6v5bO+zlrVu3AEDXguvVqxeCg4ORmJiIyMhIREVFWXzrTqPR4OOPP4abmxv+/ve/c10OAY281BkUrGbugQcewM8//4yTJ0+a5W0Q1szR0RFDhgzRdahhGAZVVVUoKSlBeXk5bt68iYqKCpSUlEAul0MgEKChoeG+7Tg4OKCurq7NAxbDMODz+WAYBr169UJiYiJCQkIQFBSEwMDAHnkN/pNPPsHVq1fxzjvvWPyXBGJ9KFjNnFAoxAMPPIDk5GRcunSJhnEzY3w+H15eXvDy8rrv1CXDMJDL5VAqlWhoaEB9fT0aGhrQ0NCAxsZGNDU1wd7eHg4ODhAKhXB2doaTkxOAO9dTGYaBr68vfH19uXhpJnXy5EkcPHgQjz32GGJiYrguh/w/d3f3Fj9J2yhYLYCfnx+ioqLw559/QiKRdGliasItPp8PV1dXvQefYBgGZWVlqKiogKOjI4KDg3tky/RelZWV+OSTTxAeHo6nn36a63LIXTw9PcHn8402h3ZPQucVLURMTAx69eqFkydP0rytPZxCoUB2djYqKyvRu3dvREZGWkWoqtVqvPbaaxAIBPjXv/5Flz3MEHVc0g+9cy0En89HfHy87kZ/0vNoW6m5ubng8Xjo37+/VZz61XrnnXdQXl6Of/zjHxZxj601oo5L+qFgtSBisRgjRoxASUmJbvg60jPU1tYiOzsbVVVV8PPzs5pWqtaOHTtw9uxZPP300zS6ErF4dI3VwoSGhuLmzZs4f/48fHx8LHbAeHKHWq1GeXk5ampq4OzsjLCwsB45jV17Tp48ie+++w4TJkzA9OnTuS6HkG6jFqsFGjVqFBwdHXHs2DEwDMN1OaSLKisrkZ2djbq6OgQFBSE0NNTqQvX69ev44IMP0K9fPyxdupTrcggxCApWCyQQCBAfH4/6+nocP36c63JIJymVSuTl5aGsrAy9evVC//794ebmxnVZJieXy7FmzRo4OTlhzZo11FnJzNHIS/qjU8EWysPDA8OGDcPx48fh4OBg9jOUkDujCUmlUlRXV8Pe3h5hYWFWO5qWRqPB2rVrIZfL8d5779ElDQtAIy/pj4LVgoWHh6Ourg7p6em6Kc6IeaqqqkJFRQVYloWvry88PDy4LolT69atw+XLl/HPf/4TISEhXJdD9EStVf1QsFq4oUOHQqlUIjU1FQ4ODhY3e0lPp1AoUF5ejsbGRri6usLX19fqJ+revHkzzpw5g2effRajRo3iuhyiJx6PB5ZlKVz1YN2f8B4iLi4ODQ0NOHHiBBwcHCx2NpOeRK1W4+bNm5DJZHBwcKB5df/fZ599hkOHDmHu3LmYOnUq1+WQTuDxeLoHaR/1FughHnzwQXh6euLIkSOoqqriuhyrxTAMKisrkZ+fD4VCAT8/P4SGhlKoAvj0009x4MABzJgxA7Nnz+a6HNJJdI1VfxSsPYRAIMBDDz0EZ2dnHDx4EHK5nOuSrArDMKiurkZ+fj5u374NT09PREREWGVv39Z88sknOHjwIGbOnImkpCSuyyHEqChYexA7OztMnjwZNjY2OHDgAFQqFdclWQW5XI6CggLcvHkTzs7OCA0NNdpE55Zo06ZNOHz4MB5//HHMnz+f63JIF9HtNvqjT34P4+joiIcffhhqtRr79++nAfuNSKlU4vr16ygtLYWdnR1CQkKoc9I9Nm3ahCNHjuCJJ57AvHnzuC6HEJOgYO2BXF1d8dBDD6G2tha//PILtVwNTK1Wo6SkBNevXwfDMAgMDERgYCBNyH2Pjz76SBeqTz31FNflEGIyFKw9lJeXFyZPngy5XI69e/dSuBqAWq2GVCpFcXEx1Go1evfujZCQEKsd5KE977//PpKTkzF79mwK1R6COi/pz2KC9e2339aNkavvKC0LFixo0UWcx+Nh4sSJxi3UjEgkEkyePBkKhQI//vgjdWjqIrVajcrKSpSWlqKxsRHe3t7o27cvjRbUCu2ISufPn8ecOXMwZ84crksiBkLXWPVnMcGqVqsxc+ZMLF68uFPrTZw4ETdv3tQ9vv32WyNVaJ4kEgmmTp2KxsZG7N69G5WVlVyXZDE0Go0uUBsaGuDu7g5/f3+IxWKuSzNL1dXVWLVqFfLy8jB79my6paYHolDVj8X0snjjjTcAANu3b+/Uevb29pBIJEaoyHJ4eHhg1qxZ2Lt3L/bs2YNJkyYhMDCQ67LMlkajQXV1Nerq6iAQCODu7g6xWEy9fNuRk5OD9evXQ61W46WXXsLQoUO5LokYGJ/PB8uy9DnQQ4//Cx0/fhxeXl4IDw/H4sWLcfv27XaXb2xshFwub/HoCUQiEWbOnAkvLy/s27cPWVlZXJdkdjQaDaqqqlBcXIz6+npdC9XV1ZUOJu04dOgQVq9eDUdHR2zYsIFClVg9i2mxdsXEiRPx6KOPIjg4GAUFBfjnP/+Jhx56CKmpqbCxsWl1nbVr1+paxz2NnZ0dpk+fjuTkZBw9ehQKhQIjRozguizOqdVqyOVy1NfXg8fjUQtVTwzDYMuWLUhOTkZMTAz+8Y9/UM/oHow6L+mP02BduXIl3n333XaXycnJQb9+/bq0/SeeeEL33wMGDEB0dDRCQkJw/PhxPPjgg62us2rVKixbtkz3b7lcDn9//y7t3xzx+XwkJiZCJBLh3LlzqK6uxvjx463y3kuVSgW5XI6GhgbY2NigV69eEIlEFKh6kMvlePvtt5Gfn4/HHnuMOilZAeq8pD9Oj6Yvv/wyFixY0O4yffr0Mdj++vTpAw8PD1y7dq3NYLW3t4e9vb3B9mmuRo8eDbFYjOPHj+PWrVuYPHmy1Qy/p1QqIZfL0djYCFtbW7i7u9MtM52Qn5+PtWvXQqVSYfny5TQXMCH34DRYPT094enpabL9lZWV4fbt2/Dx8THZPs3ZgAED4OnpiQMHDuC7777D+PHje/S0cwqFAnK5HE1NTbC3t4enpycNjt9JKSkp2Lp1K9zd3fH6668jICCA65IIMTsWc86rpKQEmZmZKCkpQXNzMzIzM5GZmQmFQqFbpl+/fvj5558B3DmILl++HGfPnkVRURFSUlIwdepU9O3bF4mJiVy9DLMjkUgwZ84c+Pj44MCBAzh58iQYhuG6LINhGAYKhQJSqRTV1dXg8/nw9vaGRCKhUO0ElUqFTz75BFu2bEH//v3x3nvvUagS0gaLubC2evVq7NixQ/fvwYMHAwCOHTuG+Ph4AEBeXh5kMhkAwMbGBpcuXcKOHTtQW1sLX19fTJgwAf/+97+t4lRvZwiFQkydOhXnzp1DWloapFIpJk6caNH3a2o0GigUCiiVSjAMA0dHR7i5ucHOzo7r0ixORkYGPv/8c8hkMsyaNQuPPfYY1yURDlDnJf1ZTLBu3769w3tY7/4f7uDggCNHjhi5qp6Dz+cjNjYWPj4+OHToEHbs2IFx48YhKiqK69I6RaVSQaFQQKVSgc/nQyQSUYekLlIoFPjiiy9w6tQpBAUFYcWKFQgODua6LMIR6rykP4sJVmIaQUFBmD9/PpKTk3HkyBEUFBRg/PjxZn/aVKlUQqFQQK1WQyAQwM3NzexrNmepqanYtm0blEolZs2ahUcffZS+nBCiJwpWch9HR0dMnToVV65cwbFjx7Bjxw6MHj0a0dHRXJfWgvb6qUKhAMMwEAqF8PDwoHspu0Eul2Pr1q1IS0tDaGgonn/+efj5+XFdFiEWhYKVtCkqKgoBAQH47bffcPjwYVy6dAkJCQmcDxGpvX6qUql0109FIpFV3otrSMePH8eOHTvQ1NSEuXPn4pFHHuG6JEIsEh2JSLvEYjEee+wx5Ofn4+jRo/j6668RHR2NsWPHmrRlyDAM1Go1VCoVNBoN+Hw+xGIxhEIhnaLspqqqKmzduhWZmZmIjIzE888/Dy8vL67LImaGrrHqj4KV6CU0NBTBwcE4e/Ys0tLSkJ+fj7i4OKOfHtZoNFCpVLr5ZO3s7CAWi6l3rwGoVCrs2bMHR44cgYuLC55++mm6FY20iWVZ8Hg86hWsBwpWojeBQIAxY8YgKioKv//+u+708IQJEwzawmmtdero6EitUwNRq9XYt28fDh8+DB6Ph5EjR+Kpp56y6NuriPFRi1V/FKyk01xdXe87PRweHo64uLhuHZypdWpcarUahw4dwqFDh1BXV4eYmBg8/vjj1DmJ6EXbWqVg7RgFK+ky7enhtLQ0nDlzBtnZ2QgPD8fo0aPh4eGh1za0rVPtg1qnhqfRaHD48GEcOHAAMpkMgwcPxqxZs2jkJNIp2hHZetLIbMZCwUq6RSAQYNSoURgyZAjOnj2L9PR0XL58GSEhIRg1alSbE6prg1Sj0QC40zp1dHSknr0GpNFokJKSgl9//RU1NTWIjo7GrFmzaJAHQoyMjmLEIIRCIeLj4zFmzBikp6cjLS0NX3/9NXr37o2RI0ciPDy8ResUuBPK2jCl1qnhKJVKHDlyBCdOnEBlZSUiIyOxdOnSHj3BAjE+usaqPwpWYlACgQAjRozAsGHDkJ2djTNnzuC7776DWCzG4MGDMWjQIDg6OsLOzo7C1MBKSkpw+PBhpKWloampCdHR0Vi8eDHCw8O5Lo30ANQrWH8UrMQoNBoNgoKC4Ofnh6KiIqSnp+PkyZO4dOkSBg0ahOHDh9OQgwagUqnwxx9/4PTp0ygqKoKDgwNGjx6Nhx9+mO5FJYQjFKzEYDQaja5nL/C/U72DBg3CoEGDIJVKkZqaigsXLuDUqVPo06cP+vfvj/79+1PP3066cuUKjh8/jj///BNqtRp9+vTB3LlzMXr0aBrSkRgNtVb1Q8FKuoVhGGg0Gt11Uz6fD6FQ2OqpXolEgunTp0MulyMjIwOXL1/GTz/9hF9//RUhISGIjIykkG1HQUEBzp07h/Pnz6O6uhouLi6Ij4/HuHHj4Ovry3V5hJD/R8FKOo1hGF2garve29nZ6d0JSSwWIz4+HvHx8aisrMTly5eRnZ2tC9k+ffogKirK6kNWo9EgOzsb58+fR1ZWFmpqamBvb4/o6GiMHDkSgwYNouvUxKSo45J+KFiJXu4OUy1tkHbn4O7l5YUHH3wQDz74oC5kc3JyWoRsSEgIQkND9b431pJVVVXhypUryMnJwZUrV6BUKuHs7IzIyEjExMQgOjraqr9sEO7w+XywLEtf5vRAwUrapA1T7QMwTJi2pbWQLSgowP79+wEALi4uCAoKQmBgIIKDgy2+cw7DMJBKpcjPz9c9bt++DQDw9/fX9a4ODw+ngxnhHPUK1h8FK2mhrTA19b2md4esUqnE1atXUVBQgOLiYvz5559gGAb29vbw8fGBj48PAgICEBQUBFdXV5PV2BkMw6C4uBjXr19HaWkpSktLUVFRgcbGRt1MPSEhIZgyZQqioqLM9nUQ60X3seqPgpXcN1SZRqPhJEzbcnfPYgBQKBQoLi5GSUkJysvLcenSJaSmpoLH48HGxgaurq5wc3ODu7s73N3d4eHhAW9vb6OHlUKhgFwuR11dHWpqalBZWYnbt2+jpKQEFRUVutPo7u7u8PX1RWRkJAIDA9GnTx8KUmL2bGxswLIsbGxsuC7F7FGwWqnWxv3Uhqi5364hEokQGRmJyMhI3XPV1dW6AKuqqkJNTQ1KS0uhUCh0y2hHeXJ0dISTkxOcnJzA4/EgEAhgY2Oje9ja2uqe0/5sbm5GQ0MDFAoF6uvrdT+VSiXq6+vR0NDQ4m/p6OiIxsZGSCQSeHl5ISYmBsHBwQgODqb7d4lFYhgGPB6PxgrWAwWrFWkrTM2hVdpdbm5ucHNzu+95tVqNyspKVFVVobq6GjU1NbpQrKqqQkNDA5qbm1s8GIZp8d8AYG9vD6VSCQcHB10oi0QieHt7w9nZGSKRCCKRCM7OzhCLxRCLxdQKJT2Kt7c37Ozs4O3tzXUpZo+CtYe7+1qpVk8JU33Y2dnBz8+vW1OjaW8rot64xJr5+PjA2dkZPj4+XJdi9ihYe6B7w1QbotYSpoZGM+4QQjqDjrRmat26dXB2doZAIICzszPWrVvX4Tp3D9qgbZUa8/YYQoh1WLduHR5++GFUVFTg4Ycf1ut4ZM14LN2U1C65XA4XFxfIZDKIxWKT7DMsLAz5+fmtPp+Xl2eSGggh/1NWVgZ/f3+THgfMBR2P7uhMFlAzxsysW7eu1TcxAFy9ehUbNmwwcUWEEGtFx6OuoRZrB0zdYnV2dm5xi8i9RCIR6urqjF4HIeR/rLXFSsej/+lMFlCvDDNRXFyMTz/9tN03MQA0NDSYqCJCiLXr6HhDx6PWUbByRKVS4ZtvvsGuXbuQnp4OuVyu13oODg5GrowQQu5wcHBo98s+HY9aZxHXWIuKirBw4UIEBwfDwcEBISEhWLNmjW4O0LaoVCq88MILcHd3h0gkwowZM1BRUWGiqu936tQpzJs3D35+fnB0dMSiRYtw/PhxODs7Y+7cufjjjz+wdu3adrexevVqE1VLCLF2r776aru/p+NRG1gLcOjQIXbBggXskSNH2IKCAnbv3r2sl5cX+/LLL7e73nPPPcf6+/uzKSkp7IULF9iRI0eyo0aN6tS+ZTIZC4CVyWSdrvvq1avs8uXL2aioKNbOzo4FwAJgxWIxO27cOHbr1q1sQ0PDfeuFhYXplr37ERYW1ukaCCHdV1pa2uXjgKWj49EdnckCiwjW1qxfv54NDg5u8/e1tbWsra0tu3v3bt1zOTk5LAA2NTW1zfVUKhUrk8l0j858oAoLC9l//etfbExMDOvk5MS6uLiwAFh7e3t2wIAB7MqVK9nCwkK9X59IJGJtbGxYkUjErl+/Xq/1CCGGZ83ByrJ3jke2trYsANbW1tYqj0edCVaLvcYqk8laHRtWKz09HU1NTUhISNA9169fPwQEBCA1NRUjR45sdb21a9fijTfe0KuG4uJifPnllzh48CCys7NRX18P4M5IPX369MFDDz2E2bNnY8SIEZ14ZXcsX74cy5cv7/R6hBBiaMuXL0ddXR3eeustrFy5ko5NHbDIYL127Ro2bdqEjRs3trmMVCqFnZ3dfQOhe3t7QyqVtrneqlWrsGzZMt2/5XI5/P39AQAlJSUtglR7UV8gECA4OBhjx47F/PnzMWbMmG68OkIIMT/Nzc1gWRbNzc1cl2L2OA3WlStX4t133213mZycHPTr10/37/LyckycOBEzZ87EokWLDF6Tvb097O3t73ve19e3RYs0KCgIY8eOxbx58zBmzBgaMpAQQggAjoP15ZdfxoIFC9pdpk+fPrr/vnHjBsaNG4dRo0bh888/b3c9iUQCtVqN2traFq3WiooKSCSSTtfq5eWla5HGxcVRkBJCCGkVp8Hq6ekJT09PvZYtLy/HuHHjEBMTgy+//LLDYIuJiYGtrS1SUlIwY8YMAEBeXh5KSkoQGxvb6VozMzOtasQVQgghXWMRza7y8nLEx8cjICAAGzduxK1btyCVSltcKy0vL0e/fv2QlpYGAHBxccHChQuxbNkyHDt2DOnp6UhKSkJsbGybHZcIIYS0TiAQgMfj0TSKerCIv1BycjKuXbuGa9eu3TdhNfv/Qx03NTUhLy8PSqVS97sPPvgAfD4fM2bMQGNjIxITE/Hpp5+atHZCCCHWxSKCdcGCBR1eiw0KCtKFrJZQKMTmzZuxefNmI1ZHCCE9H8MwYFkWDMNwXYrZs4hg5ZI2rPUdy5cQ0vNoP//WfBxobGzU/bTGv4P2Nd/bgGsNTRvXAe10UYQQQkhpael9lyTvRcHaAYZhcOPGDTg7O4PH43FdjklpB8coLS2lHtGdRH+77jG3v19zczOuXbuGvn37wsbGxij7MLfXfC9rr49lWdTV1cHX17fDu1LoVHAH+Hx+h99OejqxWGyWHyRLQH+77jGnv9+wYcNMsh9zes2tseb6XFxc9FrOIm63IYQQQiwFBSshhBBiQBSspE329vZYs2ZNq2Mnk/bR3657rPHvZ+6vmerTH3VeIoQQQgyIWqyEEEKIAVGwEkIIIQZEwUoIIYQYEAUrIYQQYkAUrEQvb7/9NkaNGgVHR8cWE8eT1m3evBlBQUEQCoUYMWKEbjpD0r6TJ09iypQp8PX1BY/Hwy+//MJ1SUZVXV2NOXPmQCwWw9XVFQsXLoRCoWh3nfj4ePB4vBaP5557ziD1dPZ9u3v3bvTr1w9CoRADBgzAwYMHDVKHIerbvn37fX8noVBo1Pq0KFiJXtRqNWbOnInFixdzXYrZ+/7777Fs2TKsWbMGGRkZGDhwIBITE1FZWcl1aWavvr4eAwcOtJoZqebMmYOsrCwkJydj//79OHnyJJ555pkO11u0aBFu3rype6xfv77btXT2fXvmzBnMnj0bCxcuxMWLFzFt2jRMmzYNV65c6XYthqgPuDMK091/p+LiYqPUdh+WkE748ssvWRcXF67LMGvDhw9nX3jhBd2/m5ubWV9fX3bt2rUcVmV5ALA///wz12UYTXZ2NguAPX/+vO65Q4cOsTwejy0vL29zvbFjx7Ivvviiwevp7Pv28ccfZx9++OEWz40YMYJ99tlnDV5bV+rj8lhFLVZCDEitViM9PR0JCQm65/h8PhISEpCamsphZcTcpKamwtXVFUOHDtU9l5CQAD6fj3PnzrW77s6dO+Hh4YGoqCisWrUKSqWyW7V05X2bmpraYnkASExMNMr7vKufK4VCgcDAQPj7+2Pq1KnIysoyeG2toUH4CTGgqqoqNDc3w9vbu8Xz3t7eyM3N5agqYo6kUim8vLxaPCcQCODm5gapVNrmek8++SQCAwPh6+uLS5cuYcWKFcjLy8NPP/3U5Vq68r6VSqWtLt9e7aasLzw8HNu2bUN0dDRkMhk2btyIUaNGISsry+gTq1CL1YqtXLnyvov79z4oDAjpHGN/rp555hkkJiZiwIABmDNnDr766iv8/PPPKCgoMOCrsHyxsbGYN28eBg0ahLFjx+Knn36Cp6cntm7davR9U4vVir388stYsGBBu8v06dPHNMX0EB4eHrCxsUFFRUWL5ysqKiCRSDiqipiSvp8riURyX8cbjUaD6urqTr1XRowYAQC4du0aQkJCOl0v0LX3rUQiMdn73BCfK1tbWwwePBjXrl0zeH33omC1Yp6envD09OS6jB7Fzs4OMTExSElJwbRp0wAADMMgJSUFS5Ys4bY4YhL6fq5iY2NRW1uL9PR0xMTEAACOHj0KhmF0YamPzMxMAICPj0+X6gW69r6NjY1FSkoKli5dqnsuOTkZsbGxXa7DkPXdq7m5GZcvX8akSZMMXt99OOkyRSxOcXExe/HiRfaNN95gRSIRe/HiRfbixYtsXV0d16WZne+++461t7dnt2/fzmZnZ7PPPPMM6+rqykqlUq5LM3t1dXW69xYA9v3332cvXrzIFhcXc12aUUycOJEdPHgwe+7cOfbUqVNsaGgoO3v2bN3vy8rK2PDwcPbcuXMsy7LstWvX2DfffJO9cOECe/36dXbv3r1snz592Li4uG7X0tH7du7cuezKlSt1y58+fZoVCATsxo0b2ZycHHbNmjWsra0te/ny5W7XYoj63njjDfbIkSNsQUEBm56ezj7xxBOsUChks7KyjFLf3ShYiV7mz5/PArjvcezYMa5LM0ubNm1iAwICWDs7O3b48OHs2bNnuS7JIhw7dqzV99n8+fO5Ls0obt++zc6ePZsViUSsWCxmk5KSWnxZvX79eovPWUlJCRsXF8e6ubmx9vb2bN++fdnly5ezMpnMIPW0974dO3bsff8ffvjhBzYsLIy1s7NjIyMj2QMHDhikDkPUt3TpUt2y3t7e7KRJk9iMjAyj1qdF08YRQgghBkS9ggkhhBADomAlhBBCDIiClRBCCDEgClZCCCHEgChYCSGEEAOiYCWEEEIMiIKVEEIIMSAKVkIIIcSAKFgJIYQQA6JgJYQQQgyIgpUQQggxIApWQlpx69YtSCQSvPPOO7rnzpw5Azs7O6SkpHBYGSGmVVRU1Opk7fHx8VyXZrZoPlZCWuHp6Ylt27Zh2rRpmDBhAsLDwzF37lwsWbIEDz74INflEWIy/v7+uHnzpu7fUqkUCQkJiIuL47Aq80az2xDSjhdeeAG///47hg4disuXL+P8+fOwt7fnuixCOKFSqRAfHw9PT0/s3bsXfD6d9GwNBSsh7WhoaEBUVBRKS0uRnp6OAQMGcF0SIZx58skn8eeff+Ls2bNwdnbmuhyzRV83CGlHQUEBbty4AYZhUFRUxHU5hHDmrbfewpEjR/Drr79SqHaAWqyEtEGtVmP48OEYNGgQwsPD8eGHH+Ly5cvw8vLiujRCTGrPnj2YPXs2Dh06RH0M9EDBSkgbli9fjh9//BF//vknRCIRxo4dCxcXF+zfv5/r0ggxmStXrmDEiBFYtmwZXnjhBd3zdnZ2cHNz47Ay80XBSkgrjh8/jvHjx+PYsWMYM2YMgDu3HQwcOBDr1q3D4sWLOa6QENPYvn07kpKS7nt+7NixOH78uOkLsgAUrIQQQogBUeclQgghxIAoWAkhhBADomAlhBBCDIiClRBCCDEgClZCCCHEgChYCSGEEAOiYCWEEEIMiIKVEEIIMSAKVkIIIcSAKFgJIYQQA6JgJYQQQgzo/wB/BIDWFCLFmwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 500x800 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ops = rebound.OrbitPlotSet(sim)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Primary particles\n",
    "\n",
    "Note that all orbits that we have drawn so far used the center of mass of all interior particles as their primary particle. This coordinate system is known as Jacobi coordinates. It requires that the particles are sorted by ascending semi-major axis within the REBOUND simulation's particle array. You can specify the primary particle manually, for example to show heliocentric orbits or specific s- or p-type orbits in binaries. For example, have a look at this planetary system:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = rebound.Simulation()\n",
    "sim.add(m=1.)       # Star A\n",
    "sim.add(m=1., a=1.) # Star B\n",
    "sim.add(a=2.)       # Circumbinary planet ABb\n",
    "sim.add(a=0.2, primary=sim.particles[1]) # Planet Bb, orbiting star B \n",
    "sim.move_to_com()\n",
    "fig = rebound.OrbitPlot(sim)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Circumbinary Planet ABb is plotted correctly in orbit around the center of mass of A and B, but Bb's Jacobi orbit is also around the center of mass of the interior particles, which, in this case renders as a hyperbolic orbit ( Note that although the plot looks incorrect, IAS15 would correctly integrate their motions).\n",
    "\n",
    "One way to fix the visualization is to create two orbit plots using the same matplotlib figure and axes, but each showing different particles, around different primaries. Here's how this can be done:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ob1 = rebound.OrbitPlot(sim, particles = [1,2])\n",
    "ob2 = rebound.OrbitPlot(sim, particles = [3], primary=1, show_primary=False, fig=ob1.fig, ax = ob1.ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kepler-Orrery style plots\n",
    "\n",
    "You can use a similar idea to show multiple planetary systems in the same figure. This time we're creating the matplotlib figure by hand and then adding one orbit plot for each system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig, ax = plt.subplots()\n",
    "ax.set_aspect(\"equal\") # this is needed if you don't want to get stretched orbits\n",
    "ax.axis('off')  # no axis ticks\n",
    "for x in range(5):\n",
    "    for y in range(5):\n",
    "        sim = rebound.Simulation()\n",
    "        sim.add(m=1)\n",
    "        for i in range(3):\n",
    "            sim.add(a=3+2.2*i, f=\"uniform\")\n",
    "        sim.move_to_com()\n",
    "        rebound.OrbitPlot(sim, fig=fig, ax=ax, origin = [-x*20., -y*20.])\n",
    "ax.set_xlim([-10,90])\n",
    "ax.set_ylim([-10,90]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Manually adjusting plot components\n",
    "\n",
    "You can access the `PathCollection` and `LineCollection` structures that OrbitPlot uses internally to adjust their appearance. These are stored in the `primary`, `particles`, and `orbits` attributes. This gives you great flexibility when it comes to customizing your plot. For example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "op = rebound.OrbitPlot(sim)\n",
    "op.orbits[1].set_linewidth(5)\n",
    "op.orbits[2].set_linestyle(\"--\")\n",
    "op.particles.set_color([\"red\", \"green\", \"black\"])\n",
    "op.particles.set_sizes([500,100,1000])\n",
    "op.primary.set_sizes([1000])\n",
    "op.primary.set_edgecolor(\"orange\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively, you can combine multiple orbit plots in one figure to give you a similar result. For example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "op1 = rebound.OrbitPlot(sim, particles=[1,3])\n",
    "op2 = rebound.OrbitPlot(sim, particles=[2], ax=op1.ax, fig=op1.fig, lw=5, color=\"red\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Updating plots\n",
    "\n",
    "You can update the simulation data in an OrbitPlot after integrating the simulation. For example, integrating the last simulation and then updating the plot (including the highlighted orbit) can be done with:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim.integrate(sim.t+3.2)\n",
    "op1.update()\n",
    "op2.update() # red planet orbit\n",
    "op1.fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Animations\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Updating OrbitPlot is efficient. Only the underlying data is updated whereas the figure itself does not need to get recreated. This makes it possible to render animations. Let us first render a series of frames to files:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(3):\n",
    "    sim.integrate(sim.t+0.31)\n",
    "    op1.update()\n",
    "    op2.update()\n",
    "    op1.fig.savefig(\"out_%02d.png\"%i)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You could now convert these images to a gif or a movie, for example by using ImageMagick's `convert` or `ffmpeg`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Interactive plots and animations in a jupyter notebook\n",
    "You can update exisiting figures in a jupyter notebook if you use matplotlib's widget backend using `%matplotlib widget`. These figures are interactive, you can zoom in, move around, and resize them.\n",
    "\n",
    "Note that you might need to run `%matplotlib widget` before importing rebound or matplotlib. If the following cells don't work, restart your kernel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib widget\n",
    "import rebound"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b9b7d3cabefb435283eadde0631d4160",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='' width=500.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = rebound.Simulation()\n",
    "sim.add(m=1)\n",
    "sim.add(m=0.1, e=0.041, a=0.4, inc=0.2, f=0.43, Omega=0.82, omega=2.98)\n",
    "sim.add(m=1e-3, e=0.24, a=1.0, pomega=2.14)\n",
    "sim.add(m=1e-3, e=0.24, a=1.5, omega=1.14, l=2.1)\n",
    "op = rebound.OrbitPlot(sim)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can update the plot during an integration. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = op.fig\n",
    "for i in range(100):\n",
    "    op.sim.integrate(sim.t+0.6)\n",
    "    op.update()       # update data\n",
    "    fig.canvas.draw() # redraw figure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the simulation slowly drifted out of the frame. Ideally, we should move the simulation to the center of mass frame using `sim.move_to_com()`. Alternatively, we can also adjust the plot boundaries by passing the `updateLimits=True` argument to the update function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(100):\n",
    "    op.sim.integrate(sim.t+0.6)\n",
    "    op.update(updateLimits=True)\n",
    "    fig.canvas.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can make all the plots in the notebook interactive and update them dynamically. If a figure contains multiple OrbitPlots (such as in the orrery example), you need to call `update()` on each OrbitPlot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
